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I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?
- a)25
- b)37
- c)54
- d)65
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, ...
Clearly, the required number would be such that it leaves a remainder of 1 when divided by 2, 3 or 4 and no remainder when divided by 5. Such a number is 25.
Most Upvoted Answer
I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, ...
Problem Analysis:
We need to find the minimum number of sweets that need to be packed and distributed according to the given conditions.
Given conditions:
- If 2, 3, or 4 sweets are kept in a pack, there will be one sweet remaining.
- If 5 sweets are kept in a pack, there will be no sweets remaining.
Solution:
To find the minimum number of sweets, we need to consider the least common multiple (LCM) of the numbers 2, 3, 4, and 5.
Step 1: Calculate the LCM of 2, 3, 4, and 5.
The LCM of 2, 3, 4, and 5 is 60.
Step 2: Add 1 to the LCM obtained in Step 1.
60 + 1 = 61
Therefore, the minimum number of sweets needed to be packed and distributed is 61.
However, option A states that the correct answer is 25. There seems to be a discrepancy between the given options and the calculated answer. The given options might be incorrect, or there might be a mistake in the question itself.
Conclusion:
Based on the given conditions, the minimum number of sweets needed to be packed and distributed is 61, not 25.
We need to find the minimum number of sweets that need to be packed and distributed according to the given conditions.
Given conditions:
- If 2, 3, or 4 sweets are kept in a pack, there will be one sweet remaining.
- If 5 sweets are kept in a pack, there will be no sweets remaining.
Solution:
To find the minimum number of sweets, we need to consider the least common multiple (LCM) of the numbers 2, 3, 4, and 5.
Step 1: Calculate the LCM of 2, 3, 4, and 5.
The LCM of 2, 3, 4, and 5 is 60.
Step 2: Add 1 to the LCM obtained in Step 1.
60 + 1 = 61
Therefore, the minimum number of sweets needed to be packed and distributed is 61.
However, option A states that the correct answer is 25. There seems to be a discrepancy between the given options and the calculated answer. The given options might be incorrect, or there might be a mistake in the question itself.
Conclusion:
Based on the given conditions, the minimum number of sweets needed to be packed and distributed is 61, not 25.
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